Search a number
-
+
116985204960 = 25351387721377
BaseRepresentation
bin110110011110011011…
…1001001000011100000
3102011221220022011011220
41230330313021003200
53404041203024320
6125424154535040
711311000556331
oct1547467110340
9364856264156
10116985204960
1145682109a78
121a80a137480
13b054722890
14593abac288
15309a48ce40
hex1b3cdc90e0

116985204960 has 192 divisors, whose sum is σ = 397320904512. Its totient is φ = 28762177536.

The previous prime is 116985204943. The next prime is 116985204971. The reversal of 116985204960 is 69402589611.

It is a Cunningham number, because it is equal to 3420312-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5461792 + ... + 5483168.

It is an arithmetic number, because the mean of its divisors is an integer number (2069379711).

Almost surely, 2116985204960 is an apocalyptic number.

116985204960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116985204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198660452256).

116985204960 is an abundant number, since it is smaller than the sum of its proper divisors (280335699552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116985204960 is a wasteful number, since it uses less digits than its factorization.

116985204960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22285 (or 22277 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 116985204960 in words is "one hundred sixteen billion, nine hundred eighty-five million, two hundred four thousand, nine hundred sixty".